Answer:
Step-by-step explanation:
The formula of a distance between two points:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have two points (-6, 7) and (-1, -5).
Substitute:
[tex]d=\sqrt{(-1-(-6))^2+(-5-7)^2}=\sqrt{(-1+6)^2+(-12)^2}\\\\=\sqrt{5^2+12^2}=\sqrt{25+144}\\\\=\sqrt{169}=13[/tex]